High-order Symmetric Schemes for the Energy Conservation of Polynomial Hamiltonian Problems 1 2

By Felice Iavernaro, Donato Trigiante. 2009

145 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7a7703bec9cdfbb0c7cbd60d11c694664577b330

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. David Cohen
2. Ernst Hairer
3. Felice Iavernaro
4. L. Brugnano
5. Donato Trigiante
6. Yuto Miyatake
7. Christian Lubich
8. Michael Betancourt

Citations in the corpus

• Hamiltonian BVMs (HBVMs): A Family of "Drift Free" Methods for Integrating polynomial Hamiltonian problems' (2009, background): “Moreover, let us define the following silent stages [11] wi ≡ σ(τi), i = 1, .”
• Linear energy-preserving integrators for Poisson systems (2011, methodology): “The article [7] presents Runge–Kutta methods that preserve the energy for polynomial Hamiltonians.”